106655149561 has 3 divisors (see below), whose sum is σ = 106655476143. Its totient is φ = 106654822980.

The previous prime is 106655149487. The next prime is 106655149583. The reversal of 106655149561 is 165941556601.

The square root of 106655149561 is 326581.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 104470521961 + 2184627600 = 323219^2 + 46740^2 .

It is not a de Polignac number, because 106655149561 - 2²¹ = 106653052409 is a prime.

It is a super-2 number, since 2×106655149561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106655146561) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163291 + ... + 489871.

It is an arithmetic number, because the mean of its divisors is an integer number (35551825381).

Almost surely, 2^106655149561 is an apocalyptic number.

106655149561 is the 326581-st square number.

106655149561 is the 163291-st centered octagonal number.

It is an amenable number.

106655149561 is a deficient number, since it is larger than the sum of its proper divisors (326582).

106655149561 is an frugal number, since it uses more digits than its factorization.

106655149561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653162 (or 326581 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

Multiplying 106655149561 by its sum of digits (49), we get a square (5226102328489 = 2286067²).

The spelling of 106655149561 in words is "one hundred six billion, six hundred fifty-five million, one hundred forty-nine thousand, five hundred sixty-one".